Home
Class 11
MATHS
If the angle between unit vectors veca a...

If the angle between unit vectors `veca and vecb` is `60^(@)` . Then find the value of `|veca -vecb|`.

Text Solution

Verified by Experts

`|veca-vecb|^(2)=(veca-vecb).(veca-vecb)`
`=a^(2)+b^(2)-2(veca.vecb)`
`1+1-2(1.1.costheta)`
`2(1-1/2)=1`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.2|15 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise 2.3|18 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise JEE Previous Year (Multiple Question)|11 Videos

  • CONIC SECTIONS

    CENGAGE|Exercise Solved Examples And Exercises|1255 Videos

  • LIMITS AND DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|288 Videos

Similar Questions

Explore conceptually related problems

Let veca, vecb, vecc be three unit vectors and veca.vecb=veca.vecc=0 . If the angle between vecb and vecc is pi/3 then find the value of |[veca vecb vecc]|

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt3 . Then find the value of (2veca+5vecb).(3veca+vecb+vecaxxvecb)

If veca and vecb are two vectors, such that |veca xx vecb|=2 , then find the value of [veca vecb veca xx vecb]

Find the angle between the vectors veca and vecb such that |vec a| = |vec b| = sqrt 2 and veca.vecb = 1 .

Find the angle between two vectors veca nd vecb if abs(vecaxxvecb)=veca.vecb .

if veca, vecb and vecc are there mutually perpendicular unit vectors and veca ia a unit vector make equal angles which veca, vecb and vecc then find the value of |veca+ vecb + vecc + vecd|^2

The angle between two vectors veca and vecb if |veca xx vecb|=veca*vecb is …………… .

If veca, vecb,vecc are unit vectors such that veca.vecb = 0= veca.vecc and the angle between vecb and vecc is pi//3 then the value of |vecaxxvecb -veca xx vecc| is

The angle between (vecA+vecB)and(vecA-vecB) can be

Let veca and vecb be unit vectors such that |veca+vecb|=sqrt(3) , then the value of (2veca+5vecb) . (3veca+vecb+vecaxxvecb)=

CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise 2.1
  1. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

    Text Solution

    |

  2. Show that |veca|vecb+|vecb|veca is perpendicular to |veca|vecb-|vecb|...

    Text Solution

    |

  3. If the vertices A,B, C of a triangle ABC are (1,2,3),(-1, 0,0), (0, 1,...

    Text Solution

    |

  4. If |a|=3,|b|=4a n d the angle between aa n db is 120^0 , then find the...

    Text Solution

    |

  5. If vectors hati-2xhatj-3yhatk and hati+ 3 x hatj + 2yhatk are orthogon...

    Text Solution

    |

  6. Let veca vecb and vecc be pairwise mutually perpendicular vectors, suc...

    Text Solution

    |

  7. If veca +vecb +vecc=0, |veca|=3,|vecb|=5, |vecc|=7 , then find the ang...

    Text Solution

    |

  8. If the angle between unit vectors veca and vecb is 60^(@) . Then find ...

    Text Solution

    |

  9. Let vecu= hati+hatj, vecv = hati -hatj and vecw = hati+2hatj+3hatk. I...

    Text Solution

    |

  10. A , B , C , D are any four points, prove that vec A B dot vec C D+ ...

    Text Solution

    |

  11. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

    Text Solution

    |

  12. If the vectors 3vecP+vecq, 5vecP - 3vecq and 2 vecp+ vecq, 4 vecp - 2v...

    Text Solution

    |

  13. Let vecA and vecB be two non-parallel unit vectors in a plane. If (alp...

    Text Solution

    |

  14. If veca,vecb,vecc are three vectors such that veca+2vecb+vecc=vec0 and...

    Text Solution

    |

  15. If veca and vecb are unit vectors, then find the greatest value of |ve...

    Text Solution

    |

  16. Constant forces P1= hat i+ hat j+ hat k ,P2= hat i+2 hat j- hat ka n d...

    Text Solution

    |

  17. If |veca|=5 , |veca-vecb| = 8 and |veca +vecb|=10 then find |vecb|

    Text Solution

    |

  18. If A ,B ,C ,D are four distinct point in space such that A B is not...

    Text Solution

    |